Title
An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bézier surfaces.
Abstract
New bounds on the magnitudes of the first- and second-order partial derivatives of rational triangular Bézier surfaces are presented. Theoretical analysis shows that the proposed bounds are tighter than the existing ones. The superiority of the proposed new bounds is also illustrated by numerical tests.
Year
DOI
Venue
2014
10.1016/j.cagd.2014.04.001
Computer Aided Geometric Design
Keywords
Field
DocType
Rational surface,Triangular Bézier surface,Upper bound,Magnitude of derivative
Mathematical optimization,Algebra,Upper and lower bounds,Rational surface,Bézier curve,Natural science,Calculus,Mathematics
Journal
Volume
Issue
ISSN
31
5
0167-8396
Citations 
PageRank 
References 
1
0.36
12
Authors
3
Name
Order
Citations
PageRank
Yanhong Liu110.36
Xiaoming Zeng210.36
Juan Cao3387.92